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Finding the Fourth Proportional to 25,596.50, 38,376.54 and 9,788.18

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Solution

The fourth proportional to 25,596.50, 38,376.54 and 9,788.18 is: 14,675.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,596.50 : 38,376.54 = 9,788.18 : x
  2. Step 2: Convert to fraction form
    25,596.50/38,376.54 = 9,788.18/x
  3. Step 3: Cross multiply
    25,596.50x = 38,376.54 × 9,788.18
  4. Step 4: Simplify right side
    25,596.50x = 375,636,289.41
  5. Step 5: Solve for x
    x = 375,636,289.41/25,596.50
  6. Step 6: Final answer
    x = 14,675.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.